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Finding the Third Proportional to 212,836.50 and 318,669

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Solution

The third proportional to 212,836.50 and 318,669 is: 477,126.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,836.50 : 318,669 = 318,669 : x
  2. Step 2: Convert to fraction form
    212,836.50/318,669 = 318,669/x
  3. Step 3: Cross multiply
    212,836.50x = 318,669 × 318,669
  4. Step 4: Simplify right side
    212,836.50x = 101,549,931,561
  5. Step 5: Solve for x
    x = 101,549,931,561/212,836.50
  6. Step 6: Final answer
    x = 477,126.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.